Final answer:
None of the equations A) y = 9, B) y = 1, C) y = 2, or D) y = 3 have a greater unit rate than the rate represented by the equation y = 9 + 3x, as all options have a unit rate of 0, which is less than 3.
Step-by-step explanation:
To determine which equations have a greater unit rate than the rate represented by y = 9 + 3x, we need to compare the slope (or unit rate) of this equation with the slopes of the options provided. The slope (m) in the equation y = 9 + 3x is 3, which means the unit rate is 3. Therefore, any equation with a slope greater than 3 has a greater unit rate.
Looking at the options:
A) y = 9 has a slope of 0 (it's a horizontal line), so its unit rate is less than 3.
B) y = 1 is also a horizontal line with unit rate 0, so it's less than 3.
C) y = 2 is a horizontal line with unit rate 0, so it's less than 3.
D) y = 3 is a horizontal line with unit rate 0, so it's less than 3.
None of the options A, B, C, or D have a slope greater than that of the equation y = 9 + 3x, so none of the options have a greater unit rate than the rate represented in the original equation.